We study rigorously the response of a finite polygonal plate to an external electromagnetic field at finite frequencies with our recent approach generalizing the conformal mapping idea to finite frequency electromagnetics. We find that vortices of an algebraic nature are generated at the corners. A way to measure these local vortices via an induced static voltage is proposed.

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12.

We have used a Drude model dielectric constant ϵ=1ωp2/(ω2+iγω),ωp=1.37×1016rad/s,γ=4.08×1013rad/s.

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14.

At high frequency, according to the Drude formula, ρiAω+ρ0 for some constant A. The first term can be absorbed into the inductance term in the impedance, which will be cancelled out by the capacitative term at resonance.

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